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Theorem reuss 3246
 Description: Transfer uniqueness to a smaller subclass. (Contributed by NM, 21-Aug-1999.)
Assertion
Ref Expression
reuss
Distinct variable groups:   ,   ,
Allowed substitution hint:   ()

Proof of Theorem reuss
StepHypRef Expression
1 idd 21 . . . 4
21rgen 2417 . . 3
3 reuss2 3245 . . 3
42, 3mpanl2 426 . 2
543impb 1135 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 102   w3a 920   wcel 1434  wral 2349  wrex 2350  wreu 2351   wss 2974 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663  ax-5 1377  ax-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-10 1437  ax-11 1438  ax-i12 1439  ax-bndl 1440  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2064 This theorem depends on definitions:  df-bi 115  df-3an 922  df-nf 1391  df-sb 1687  df-eu 1945  df-mo 1946  df-clab 2069  df-cleq 2075  df-clel 2078  df-ral 2354  df-rex 2355  df-reu 2356  df-in 2980  df-ss 2987 This theorem is referenced by:  riotass  5520
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